Accurate nucleon electromagnetic form factors from dispersively improved chiral effective field theory

Alarcón, J. M.; Weiss, C.

doi:10.1016/j.physletb.2018.07.060

Title: Accurate nucleon electromagnetic form factors from dispersively improved chiral effective field theory

Abstract

We present a theoretical parametrization of the nucleon electromagnetic form factors (FFs) based on a combination of chiral effective field theory and dispersion analysis. The isovector spectral functions on the two-pion cut are computed using elastic unitarity, chiral pion-nucleon amplitudes, and timelike pion FF data. Higher-mass isovector and isoscalar t-channel states are described by effective poles, whose strength is fixed by sum rules (charges, radii). Excellent agreement with the spacelike proton and neutron FF data is achieved up to $$Q^2 \sim$$ 1 $GeV^2$. Here, our parametrization provides proper analyticity and theoretical uncertainty estimates and can be used for low-$Q^2$ FF studies and proton radius extraction.

Authors:

; Weiss, C.

Publication Date:: 2018-09-01

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1464272

Alternate Identifier(s):: OSTI ID: 1469112

Report Number(s):: JLAB-THY-18-2675; DOE/OR/-23177-4402; arXiv:1803.09748
Journal ID: ISSN 0370-2693; S0370269318306154; PII: S0370269318306154

Grant/Contract Number:: AC05-06OR23177; FPA2016-77313-P; FPA2016-75654-C2-2-P

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 784 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Nucleon form factors; Proton radius puzzle; Dispersion relations; Chiral effective field theory

Citation Formats


                    Alarcón, J. M., and Weiss, C. Accurate nucleon electromagnetic form factors from dispersively improved chiral effective field theory.  Netherlands: N. p., 2018. 
Web.  doi:10.1016/j.physletb.2018.07.060.

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                    Alarcón, J. M., & Weiss, C. Accurate nucleon electromagnetic form factors from dispersively improved chiral effective field theory.  Netherlands.  https://doi.org/10.1016/j.physletb.2018.07.060

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                    Alarcón, J. M., and Weiss, C. Sat .  
"Accurate nucleon electromagnetic form factors from dispersively improved chiral effective field theory".  Netherlands.  https://doi.org/10.1016/j.physletb.2018.07.060.

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@article{osti_1464272,

  title        = {Accurate nucleon electromagnetic form factors from dispersively improved chiral effective field theory},

  author       = {Alarcón, J. M. and Weiss, C.},

  abstractNote = {We present a theoretical parametrization of the nucleon electromagnetic form factors (FFs) based on a combination of chiral effective field theory and dispersion analysis. The isovector spectral functions on the two-pion cut are computed using elastic unitarity, chiral pion-nucleon amplitudes, and timelike pion FF data. Higher-mass isovector and isoscalar t-channel states are described by effective poles, whose strength is fixed by sum rules (charges, radii). Excellent agreement with the spacelike proton and neutron FF data is achieved up to $Q^2 \sim$ 1 $GeV^2$. Here, our parametrization provides proper analyticity and theoretical uncertainty estimates and can be used for low-$Q^2$ FF studies and proton radius extraction.},

  doi          = {10.1016/j.physletb.2018.07.060},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 784,

  place        = {Netherlands},

  year         = {2018},

  month        = {9}

}

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Works referencing / citing this record:

Electromagnetic form factors of the transition from the spin-3/2 $Σ$ to the $Λ$ hyperon
journal, January 2020

Junker, Olov; Leupold, Stefan; Perotti, Elisabetta
Physical Review C, Vol. 101, Issue 1
DOI: 10.1103/physrevc.101.015206

Hadrons and nuclei
journal, November 2019

Detmold, William; Edwards, Robert G.; Dudek, Jozef J.
The European Physical Journal A, Vol. 55, Issue 11
DOI: 10.1140/epja/i2019-12902-4

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